MA0301/exam/python/tex_templates/Relations/EquivalenceProof.tex

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2021-08-29 19:57:57 +02:00
In order for this relation to be an equivalence equation, it has to be reflexive, symmetric and transitive.
\textbf{Reflexive:}
All elements are related to themself
%REFLEXIVE
\textbf{Symmetric:}
All relations has its symmetric counterpart
%SYMMETRIC
\textbf{Transitive:}
All pair of relations where $xRy$ and $yRz$ has its transitive counterpart
%TRANSITIVE
Hence the relation is an equivalence relation